Pohill:

3. Christ suffered this punishment in our stead, he died huper emon, for us, (Rom. v. 8), and which is more emphatical, anti pollon, instead of many, (Matt. xx. 28), the particle, huper doth sometimes in scripture signify only the utility or benefit of another, but anti properly imports a subrogation or substitution of one in the room of another; and so Christ, as our surety, died in our room or stead. Hence the apostle argues thus: If one died for all, ara hoi pantes apethanon, then all died, (2 Cor. v. 15), all died in the death of one, in as much as that one died as the surety of all. Hence our sins were condemned in his flesh, (Rom. viii. 3), and so condemned there, that upon gospel terms they are remitted to us. But unless he had stood in our room, divine justice could neither have adjudged him to punishment, nor yet have admitted us to an absolution from sin.

Edward Polhill, “The Divine Will Considered in its Eternal Decrees,” in The Works of Edward Polhill (Morgan, PA.: Soli Deo Gloria Publications, 1998), 154.